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Pisma v Zhurnal Tekhnicheskoi Fiziki, 2019, Volume 45, Issue 22, Pages 43–46
DOI: https://doi.org/10.21883/PJTF.2019.22.48649.17936 (Mi pjtf5268) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Dynamical chaos in a nonlinear system with 1/$f$ spectrum

V. P. Koverda, V. N. Skokov

Institute of Thermal Physics, Ural Branch, Russian Academy of Sciences, Ekaterinburg
Full-text PDF (678 kB) Citations (2)
DOI: https://doi.org/10.21883/PJTF.2019.22.48649.17936
Abstract: A system of two nonlinear differential equations proposed for explaining the physical nature of the 1/$f$ spectra reveals the chaotization of trajectories under periodic external action in one of the system equations. This external noise leads to a stochastic resonance and low-frequency 1/$f$ behavior of the power spectra. The stochastic resonance and 1/$f$ behavior correspond to the maximum of information entropy, which is evidence of stability of the random process.
Keywords: interacting phase transitions, dynamical chaos, power spectrum, 1/$f$ noise, stochastic resonance, maximum entropy.
Funding agency Grant number
Ural Branch of the Russian Academy of Sciences 18-2-2-3
Russian Foundation for Basic Research 19-08-00091-а
This work was supported in part by a complex program of the Ural Branch of the Russian Academy of Sciences (project no. 18-2-2-3) and by the Russian Foundation for Basic Research (project no. 19-08-00091-a).
Received: 19.06.2019
Revised: 05.08.2019
Accepted: 07.08.2019
English version:
Technical Physics Letters, 2019, Volume 45, Issue 11, Pages 1159–1162
DOI: https://doi.org/10.1134/S1063785019110233
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. P. Koverda, V. N. Skokov, “Dynamical chaos in a nonlinear system with 1/$f$ spectrum”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 45:22 (2019), 43–46; Tech. Phys. Lett., 45:11 (2019), 1159–1162
Citation in format AMSBIB
\Bibitem{KovSko19}
\by V.~P.~Koverda, V.~N.~Skokov
\paper Dynamical chaos in a nonlinear system with 1/$f$ spectrum
\jour Pisma v Zhurnal Tekhnicheskoi Fiziki
\yr 2019
\vol 45
\issue 22
\pages 43--46
\mathnet{http://mi.mathnet.ru/pjtf5268}
\crossref{https://doi.org/10.21883/PJTF.2019.22.48649.17936}
\elib{https://elibrary.ru/item.asp?id=41848486}
\transl
\jour Tech. Phys. Lett.
\yr 2019
\vol 45
\issue 11
\pages 1159--1162
\crossref{https://doi.org/10.1134/S1063785019110233}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Pisma v Zhurnal Tekhnicheskoi Fiziki Pisma v Zhurnal Tekhnicheskoi Fiziki
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